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Função de distribuição acumulada da normal padrão 
 
 
 
 
 
 
 
 
 Instruções: 
 
 
 
(1ª) a tabela fornece áreas inferiores:  zZPz  )( 
 
 
(2ª) se a variável aleatória X não estiver padronizada, deve-se fazer 



XZ 
 
 
(3ª) para 79.3z , 0)(  z e 79.3z , 1)(  z 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 z 0 .00 0 .01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 
-3.7 
-3.6 
-3.5 
-3.4 
-3.3 
-3.2 
-3.1 
-3.0 
-2.9 
-2.8 
-2.7 
-2.6 
-2.5 
-2.4 
-2.3 
-2.2 
-2.1 
-2.0 
-1.9 
-1.8 
-1.7 
-1.6 
-1.5 
-1.4 
-1.3 
-1.2 
-1.1 
-1.0 
-0.9 
-0.8 
-0.7 
-0.6 
-0.5 
-0.4 
-0.3 
-0.2 
-0.1 
- 0.0 
 
 0.0001 0.0001 0.0000 0.0000 0.0000 0.0000 0.0000 
 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 0.0001 
 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 
 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 
 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 
 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 
 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 
 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 
 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 
 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 
 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 
 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 
 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 
 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 
 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 
 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 
 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 
 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 
 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 
 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 
 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 
 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 
 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 
 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 
 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 
 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 
 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 
 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 
 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 
 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 
 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 
 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 
 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 
 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 
 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 
 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 
 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 
 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 
 0.0000 0.0000 0.0000 
 0.0001 0.0001 0.0001 
 0.0003 0.0003 0.0002 
 0.0003 0.0003 0.0002 
 0.0004 0.0004 0.0003 
 0.0005 0.0005 0.0005 
 0.0008 0.0007 0.0007 
 0.0011 0.0010 0.0010 
 0.0015 0.0014 0.0014 
 0.0021 0.0020 0.0019 
 0.0028 0.0027 0.0026 
 0.0038 0.0037 0.0036 
 0.0051 0.0049 0.0048 
 0.0068 0.0066 0.0064 
 0.0089 0.0087 0.0084 
 0.0116 0.0113 0.0110 
 0.0150 0.0146 0.0143 
 0.0192 0.0188 0.0183 
 0.0244 0.0239 0.0233 
 0.0307 0.0301 0.0294 
 0.0384 0.0375 0.0367 
 0.0475 0.0465 0.0455 
 0.0582 0.0571 0.0559 
 0.0708 0.0694 0.0681 
 0.0853 0.0838 0.0823 
 0.1020 0.1003 0.0985 
 0.1210 0.1190 0.1170 
 0.1423 0.1401 0.1379 
 0.1660 0.1635 0.1611 
 0.1922 0.1894 0.1867 
 0.2206 0.2177 0.2148 
 0.2514 0.2483 0.2451 
 0.2843 0.2810 0.2776 
 0.3192 0.3156 0.3121 
 0.3557 0.3520 0.3483 
 0.3936 0.3897 0.3859 
 0.4325 0.4286 0.4247 
 0.4721 0.4681 0.4641 
 
 
 
 
 
 
 
 
 
 
 
 
 
 z 0 .00 0 .01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 
0.0 
0.1 
0.2 
0.3 
0.4 
0.5 
0.6 
0.7 
0.8 
0.9 
1.0 
1.1 
1.2 
1.3 
1.4 
1.5 
1.6 
1.7 
1.8 
1.9 
2.0 
2.1 
2.2 
2.3 
2.4 
2.5 
2.6 
2.7 
2.8 
2.9 
3.0 
3.1 
3.2 
3.3 
3.4 
3.5 
3.6 
3.7 
 
 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 
 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 
 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 
 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 
 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 
 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 
 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 
 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 
 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 
 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 
 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 
 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 
 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 
 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 
 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 
 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 
 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 
 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 
 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 
 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 
 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 
 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 
 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 
 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 
 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 
 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 
 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 
 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 
 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 
 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 
 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 
 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 
 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 
 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 
 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 
 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 
 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 
 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 
 0.52790.5319 0.5359 
 0.5675 0.5714 0.5753 
 0.6064 0.6103 0.6141 
 0.6443 0.6480 0.6517 
 0.6808 0.6844 0.6879 
 0.7157 0.7190 0.7224 
 0.7486 0.7517 0.7549 
 0.7794 0.7823 0.7852 
 0.8078 0.8106 0.8133 
 0.8340 0.8365 0.8389 
 0.8577 0.8599 0.8621 
 0.8790 0.8810 0.8830 
 0.8980 0.8997 0.9015 
 0.9147 0.9162 0.9177 
 0.9292 0.9306 0.9319 
 0.9418 0.9429 0.9441 
 0.9525 0.9535 0.9545 
 0.9616 0.9625 0.9633 
 0.9693 0.9699 0.9706 
 0.9756 0.9761 0.9767 
 0.9808 0.9812 0.9817 
 0.9850 0.9854 0.9857 
 0.9884 0.9887 0.9890 
 0.9911 0.9913 0.9916 
 0.9932 0.9934 0.9936 
 0.9949 0.9951 0.9952 
 0.9962 0.9963 0.9964 
 0.9972 0.9973 0.9974 
 0.9979 0.9980 0.9981 
 0.9985 0.9986 0.9986 
 0.9989 0.9990 0.9990 
 0.9992 0.9993 0.9993 
 0.9995 0.9995 0.9995 
 0.9996 0.9996 0.9997 
 0.9997 0.9997 0.9998 
 0.9997 0.9997 0.9998 
 0.9999 0.9999 0.9999 
 0.9999 0.9999 0.9999 
 
 
 z 1.282 1.645 1.96 2.576 3.09 3.291 3.891 
 )(z 0.90 0.95 0.975 0.995 0.999 0.9995 0.99995 
  )(12 z 0.20 0.10 0.05 0.01 0.002 0.001 0.0001

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